scholarly journals Three-Partition Hodge Integrals and the Topological Vertex

2019 ◽  
Vol 376 (1) ◽  
pp. 201-234
Author(s):  
Toshio Nakatsu ◽  
Kanehisa Takasaki
Author(s):  
Maxim Kazarian

Abstract We derive a quadratic recursion relation for the linear Hodge integrals of the form $\langle \tau _{2}^{n}\lambda _{k}\rangle $ . These numbers are used in a formula for Masur-Veech volumes of moduli spaces of quadratic differentials discovered by Chen, Möller and Sauvaget. Therefore, our recursion provides an efficient way of computing these volumes.


2012 ◽  
Vol 2012 (6) ◽  
Author(s):  
Fusheng Deng ◽  
Jian Zhou
Keyword(s):  

2018 ◽  
Vol 51 (46) ◽  
pp. 465401 ◽  
Author(s):  
Omar Foda ◽  
Rui-Dong Zhu
Keyword(s):  

2009 ◽  
Vol 221 (1) ◽  
pp. 1-21 ◽  
Author(s):  
M. Kazarian
Keyword(s):  

2017 ◽  
Vol 50 (29) ◽  
pp. 294003 ◽  
Author(s):  
Omar Foda ◽  
Jian-Feng Wu
Keyword(s):  

2010 ◽  
Vol 833 (3) ◽  
pp. 153-198 ◽  
Author(s):  
Daniel Krefl ◽  
Sara Pasquetti ◽  
Johannes Walcher
Keyword(s):  

Author(s):  
Si-Qi Liu ◽  
Di Yang ◽  
Youjin Zhang ◽  
Chunhui Zhou

Abstract The Hodge-FVH correspondence establishes a relationship between the special cubic Hodge integrals and an integrable hierarchy, which is called the fractional Volterra hierarchy. In this paper we prove this correspondence. As an application of this result, we prove a gap condition for certain special cubic Hodge integrals and give an algorithm for computing the coefficients that appear in the gap condition.


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